when the axes are rotated through an angle alpha, find the transformed equation of xcosalpha +ysin alpha=p
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Answered by
84
Answer:
Transformed equation is X = p
Step-by-step explanation:
when the axes are rotated through an angle alpha, find the transformed equation of xcosalpha +ysin alpha=p
xcosα + ySinα = p
The axes are rotated through an angle α
x = X Cosα - Y Sinα
y = Xsinα + YCosα
putting these values
(X Cosα - Y Sinα)cosα + (Xsinα + YCosα)Sinα = p
=> XCos²α - YSinαcosα + XSin²α + YCosαSinα = p
=> X(Cos²α + Sin²α) = p
=> X = p
Transformed equation is X = p
Answered by
13
Answer:
x=p
Step-by-step explanation:
the answer is in above this answer
it is correct answer
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